Minimum size of a sequence summing to $2013$ that guarantees a ...
Nov 25, 2025 · Minimum size of a sequence summing to $2013$ that guarantees a consecutive subset sum of $31$ (still wanted rigorous proof) Ask Question Asked 2 days ago Modified today
Generate arbitrarily long sequences of consecutive numbers without ...
Aug 25, 2022 · The goal of this question is to find if other methods exist to generate arbitrarily long sequences of consecutive numbers without primes. I started searching for other formulas and …
Consecutive composite numbers - Mathematics Stack Exchange
When I took basic number-theory course there was this exercise to find 2000 consecutive numbers. And of course it's well known that the trick to take numbers of the form $$ (n+1)!+m, \\quad 2 \\leq ...
The product of $n$ consecutive integers is divisible by $n$ factorial
How can we prove that the product of $n$ consecutive integers is divisible by $n$ factorial? Note: In this subsequent question and the comments here the OP has clarified that he seeks a proof that "does …
probability - What is the expected number of times a dice has to be ...
Basically, on average, how many times one should roll to expect two consecutive sixes?
Confirming a easy proof: the product of two consecutive numbers is ...
Jan 12, 2021 · @Baropryl In both of your examples, you construct your consecutive numbers such that the smaller of the two is the even number. You must explicitly consider the case that the smaller of …
statistics - Probability of at least X consecutive failures over N ...
Apr 30, 2017 · To summarize, it is the probability of seeing at least (X) consecutive losing trades within a 50-trade period, given a list of defined winning percentages. I want the formula/model to solve this so …
Why calculating XOR of consecutive values can be simplified?
XORing consecutive integers has an interesting property. Does anyone know why? (2 answers) Closed 9 years ago. I was trying to calculate integer xor of 0..n. I named the function xored (n). Note that in …
$100$ consecutive natural numbers with no primes
Aug 6, 2018 · Additionally, Is it possible to have $1000$ consecutive natural numbers with exactly $12$ primes between them? I have an intuition that we have to form a recurrsive relation and solve it.
I'm trying to find the longest consecutive set of composite numbers
Jun 6, 2017 · In terms of this structure, the composite topologies representing the composite region in the k-tuple ensure that the frontier prime elements are consecutive in the sequence of prime …